simplify 4^(3)*4^(5)


A. 16^8

B. 4^8

C. 4^15

D. 16 * 15

Answer:

:) The Inverse of the Function f(x) = 2x + 1 is f-1(x) = x/2 - 1/2.

Step-by-step explanation:

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Answer:450 is the intercept. We see it when t=0 (where the line cross the y axis). -20 is the slope

Step-by-step explanation: y = 20 is a thing no one would ever solve for but to do it, 20=450-20t -> y =20 when t=(20-450)/20. I don’t know why anyone would ever need to find this value

The statements that are true for Trapezoid WXYZ are:

We are told that;

Shape is a trapezoid WXYZ.

Now, In a trapezoid, one pair of opposite sides are parallel and parallel lines have the same slope.

Lastly, the slope of line parallel to x axis is 0 and so If the line starts at the bottom left and goes towards the top right it has negative slope. Thus, all the statements that are true for Trapezoid WXYZ are:

Complete question is;

Four lines are drawn on a coordinate plane to form trapezoid WXYZ. Which statements are true about the lines? Select all that apply.

Line WZ has the same slope as line XY.

Line YX has a greater slope than line ZY.

Line XW has a lesser slope than line YZ.

Line ZW has the same y-intercept as line WZ.

Line XY has a greater y-intercept than line XW

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An expression is defined as a set of numbers, variables, and mathematical operations. The expression that can represent the total income of Sheryl is 7e+13n.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Since Sheryl makes $7 per pair of earrings and $13 per necklace, therefore, the expression that can represent her total income of Sheryl is 7e+13n.

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Answer:

6 3/4

Step-by-step explanation:

Answer:

6 3/4

Explanation:

0.75 is the result of dividing 3 by 4, which is the previous point but inversed.

Answer:

56

Step-by-step explanation:

Because i'm always right.

Shandra can buy 5 chicken wings for $10.50.

Given that, Shandra bought 24 chicken wings for $50.40 and Shandra spent $10.50.

We need to find out how many chicken wings Shandra brought for $10.50.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, the cost of 1 chicken wing=Total cost of chicken wings/Number of chicken wings

=50.40/24=2.1

The cost of one chicken wing=$2.1

Now, the number of chicken wings for $10.50=10.50/2.1=5

Therefore, Shandra can buy 5 chicken wings for $10.50.

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The product of the functions is  2x³ + 8x² - 2x - 20. Then the correct option is C.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The functions are given below.

f(x) = x² + 2x - 5

g(x) = 2x + 4

Then the product of the functions will be given as

(f•g)(x) = f(x) × g(x)

(f•g)(x) = (x² + 2x - 5) × (2x + 4)

(f•g)(x) = 2x³ + 8x² - 2x - 20

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Answer:

6 km

Step-by-step explanation:

1000 meters equals 1 kilometer

Considering the given quadratic equation, the correct statement is given by:

The airplane reaches its maximum height of 81 feet in 12 seconds.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

In this problem, the equation is given by:

h(t) = -(t - 12)² - 81.

The vertex is (12,81), with a negative leading coefficient, hence it is a maximum point and the correct statement is given by:

The airplane reaches its maximum height of 81 feet in 12 seconds.

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The garden with the largest area is garden b with an area of 6000 feet squares

The area of a rectangle is simply known as the number of unit squares that can fit into the rectangle.

The formula for calculating the area of a rectangle is written thus;

Area of a Rectangle = (Length × Breadth)

Using the formula:

Area of a Rectangle = (Length × Breadth)

For garden a;

Length = 25 feet

Breadth = 120 feet

Substitute the values into the formula

Area of garden a = 25 × 120 = 3000 feet squares

For garden b;

Length = 50 feet

Breadth = 120 feet

Substitute the values into the formula

Area of garden b = 50 × 120 = 6000 feet squares

Therefore, the garden with the largest area is garden b with an area of 6000 feet squares.

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The probability that you will have missed your friend is 27.78%

The time of meeting is given as:

Time = 90 minutes (i.e 12pm and 1:30pm)

Your time of arrival is given as:

Arrival = 12:25pm

If you missed your friend, it means that your friend arrives earlier.

So, the time spent by your friend is:

Friend= 12:25 - 12 = 25 minutes

The probability that you will have missed your friend is:

P = 25 minutes/90 minutes

Evaluate

P = 27.78%

Hence, the probability that you will have missed your friend is 27.78%

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Step-by-step explanation:

the volume of a cylinder is as for any other regular 3D object :

ground area ×height

the ground area of a cylinder is a circle, so it is

pi×radius² × height

the radius is always half of the diameter (of the diameter is airways twice the radius).

radius = 6/2 = 3 ft.

the volume is then

pi × 3² × 9 = pi × 9 × 9 = pi × 81 ft³

so, the answer is 81pi ft³.

Answer:

x=16.5(or 17)

Step-by-step explanation:

2(x)+2(x-4)=58

2x+2x-8=58

4x-8=58

4x=66

x=16.5(if rounded to the nearest whole number will be 17)

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Divide by 3

Equating

Now

C

Answer:

C.  y = 20

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}3y = 18x + 6\\y = 2x + 14\end{cases}[/tex]

Multiply the second equation by 3:

[tex]\implies (3)y=(3)2x+(3)14[/tex]

[tex]\implies 3y=6x+42[/tex]

Subtract this from the first equation to eliminate 3y:

[tex]\begin{array}{r l}3y & = 18x+6\\-\quad3y&=6x+42\\\cline{1-2}0&=12x-36\end{array}[/tex]

Solve the resulting equation for x:

[tex]\implies 12x-36=0[/tex]

[tex]\implies 12x=36[/tex]

[tex]\implies x=3[/tex]

Substitute the found value of x into the original second equation and solve for y:

[tex]\implies y=2(3)+14[/tex]

[tex]\implies y=6+14[/tex]

[tex]\implies y=20[/tex]

Step-by-step explanation:

y + 1 = 2(x + 5) = 2x + 10

y - 9 = 2x

2x - y = -9

Work Shown:

C = 2*pi*r

78.5 = 2*3.14*r

78.5 = 6.28r

r = (78.5)/(6.28)

r = 12.5

Answer:

d

Step-by-step explanation:

the inequality sign opens up to the bigger number

57

Step-by-step explanation:

$ 9.50 -> 1 hr

? -> 6 hrs

9.50(6) = $ 57

The area of the new patio if the original patio measures 13 feet by 13 feet is 133 ft².

Ezra has a square brick patio. he wants to reduce the width by 6 feet and

increase the length by 6 feet.

The area of the square is the measure of the space occupied by it. It is equal to the product of the measure of its two sides.

We need to write the expression for the new patio and the area of the new patio if the original patio measures 13 feet by 13 feet.

let x be the measure of the side of a square.

The length increased by 6 ft, so the new length=x+6.

The width decreased by 6 ft, so the new width=x-6.

The area is the product of length and width, so the new area is

l×w = (x+6)×(x-6)

Since the original side is 13 ft, the new length is 13+6 = 19 ft, and the new width is 13-6=7 ft.

So, the area is (19 ft)×(7 ft) = 133 ft²

Hence, the area of the new patio if the original patio measures 13 feet by 13 feet is 133 ft².

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The hourly earnings for career a are more spread out.

Career a has greater median hourly earnings than career.

Median is the number at the center of the dataset that is arranged either in ascending order or descending order.

The median of career A is 60.

The median of career b is 40

Spread refers to the range of the dataset. Career A has a greater range than career B.

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Answer:

3 family members get 126 text messages each

1 family member gets 127 text messages

Step-by-step explanation:

If you were finding the exact division of texts, 505 texts / 4 people, you would end up with 126.25 texts.

However, you can't get 0.25 of a text. If we take back each family member's 0.25 text, they will all be left with 126 texts (with an extra text leftover)

This extra text is considered the "remainder", meaning the amount left over when a number is divided [when it doesn't go into the larger number evenly]. The only importance/relevancy of a remainder is when a value cannot be split, such as a dog or a text.

So, we can give each family member 126 texts, and then we can give one family member an additional text, so that all texts are distributed.

This means that 3 family members get 126 texts, and 1 family member gets 127 texts

hope this helps!!

Answer:

[tex]3n^2+3n-6=54[/tex]

Step-by-step explanation:

Total Area=54 square inches. Area=length*width.

Because the length is [tex][3(n-1)][/tex], and the width is [tex](n+2)[/tex], you can plug that into the equation for area. In this case, because the total area is 54, we can plug that in for area.

[tex][3(n-1)](n+2)=54[/tex]

Distribute through the parenthesis in [tex]3(n-1)[/tex].

[tex](3n-3)(n+2)=54[/tex]

Then, multiply [tex]3n-3[/tex] and [tex]n+2[/tex] using whatever method you prefer. I used FOIL, which stands for First, Outer, Inner, Last. You multiply the first terms together, the outer terms together, the inner terms together, and the last terms together.  

[tex]3n^2+6n-3n-6=54[/tex]

Simplify.

[tex]3n^2+3n-6=54[/tex]

Considering the given quadratic function, the correct statement is given by:

The airplane reaches its maximum height of 95 feet in 10 seconds.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient. If a > 0, the vertex is a minimum point, and if a < 0 it is a maximum point.

In this problem, the function is:

h(t) = -(t - 10)² + 95.

Hence the vertex is (10, 95), and since a < 0, the correct statement is given by:

The airplane reaches its maximum height of 95 feet in 10 seconds.

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Answer: W

Step-by-step explanation:

The graph must pass the vertical line test.

Answer:

Line Symmetry, Horizontal and Vertical Lines, 90 and 180 degrees

Step-by-step explanation:

It is line symmetry because you can fold the H, and it would overlap perfectly.

Horizontal and vertical lines because if you were to place a line in the middle both horizontally and vertically it would overlap.

90 and 180 degrees because the H would still have have symmetry if you flipped it on its side or upside down.

The store must sell 60 of each set each to obtain the biggest possible income

The given parameters can be represented using the following table:

                        Set 1        Set 2     Available

Notebook         2                3         300

Pen                   1                  1          120

Selling price     8               11.5

Using the above data values, we have:

Objective function: Max P = 8x + 11.5y

Subject to:

2x + 3y ≤ 300

x + y ≤ 120

Next, we plot the graph of the above inequalities (see attachment)

From the attached graph, we have:

(x,y) = (60,60)

Hence, the store must sell 60 of each set each to obtain the biggest possible income

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Answer: Domain: x<-2 Range: y>1

Step-by-step explanation:

I don't know for sure but I am taking the test and that was the outcome of the answer.

Answer:

45

Step-by-step explanation:

Flip the fraction, 1/5 to 5/1, and reverse the equation to a multiplication problem.

[tex]1/5 \rightarrow 5/1\\9 \cdot 5/1 = 45[/tex]

Let me know if you have questions or concerns.